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NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS

NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS

G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game …